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Finding the Fourth Proportional to 767.47, 1,145.32 and 685.46

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Solution

The fourth proportional to 767.47, 1,145.32 and 685.46 is: 1,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.47 : 1,145.32 = 685.46 : x
  2. Step 2: Convert to fraction form
    767.47/1,145.32 = 685.46/x
  3. Step 3: Cross multiply
    767.47x = 1,145.32 × 685.46
  4. Step 4: Simplify right side
    767.47x = 785,071.05
  5. Step 5: Solve for x
    x = 785,071.05/767.47
  6. Step 6: Final answer
    x = 1,022.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.